What is the Least Common Multiple of 86889 and 86901?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86889 and 86901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86889 and 86901, than apply into the LCM equation.

GCF(86889,86901) = 3
LCM(86889,86901) = ( 86889 × 86901) / 3
LCM(86889,86901) = 7550740989 / 3
LCM(86889,86901) = 2516913663

Least Common Multiple (LCM) of 86889 and 86901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86889 and 86901. First we will calculate the prime factors of 86889 and 86901.

Prime Factorization of 86889

Prime Factorization of 86901

Now multiplying the highest exponent prime factors to calculate the LCM of 86889 and 86901.

LCM(86889,86901) = 3¹ × 11¹ × 2633¹ × 83¹ × 349¹
LCM(86889,86901) = 2516913663